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Finding the Fourth Proportional to 256,507, 353,979.66 and 143,329.76

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Solution

The fourth proportional to 256,507, 353,979.66 and 143,329.76 is: 197,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,507 : 353,979.66 = 143,329.76 : x
  2. Step 2: Convert to fraction form
    256,507/353,979.66 = 143,329.76/x
  3. Step 3: Cross multiply
    256,507x = 353,979.66 × 143,329.76
  4. Step 4: Simplify right side
    256,507x = 50,735,819,712.68
  5. Step 5: Solve for x
    x = 50,735,819,712.68/256,507
  6. Step 6: Final answer
    x = 197,795.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.